galerkin finite element method meaning in English
盖勒肯有限元法
Examples
- The convergence of approximate solution for galerkin finite elements method and the existence of generalized solutions of the unsteady neutron transport equation in multidimension
有限元法近似解的收敛性和广义解的存在性 - The pressure is approximated by a finite element method , and the concentration is approximated by the combination of a galerkin finite element method and characteristics - finite element method
压力方程由标准有限元方法逼近，浓度方程则用特徵有限元方法逼近。 - In this work , we detailedly introduced the whole ideas of rkdg finite element method and the theory of constructing gas - kinetic schemes based on boltzmann equation . and then presented a kind of new computational method for solving id and 2d compressible euler equations , i . e . firstly , we discretize euler equations in the space with discontinuous galerkin finite element method ; secondly , we discretize temporal variable t with runge - kutta formula ; thirdly , for numerical fluxes constructing , we give two kinds of different numerical fluxes - kfvs and bgk numerical fluxes by using gas - kinetic schemes
本文分别对rkdg有限元方法的整个思想和基于boltzmann方程的分子动力学格式的构造思想给予了详细的介绍，并分别结合rkdg有限元方法与kfvs数值通量和bgk数值通量的构造方法，给出了一种求解一维、二维可压缩流体力学方程组新的计算方法，即，我们先用间断有限元方法进行空间离散，然后再对所得到的半离散格式使用runge - kuttatvd方法进行时间离散，得到全离散格式。 - In the numerical solution algorithm , the method of characteristics , analytic method and galerkin finite element method ( galerkin - fem ) can be chosen to solve the advective equation , diffusion equations , reaction ( source / sink ) equations , propagation equations and pressure poisson equation , respectively . the developed new algorithm has been verified using analytical solution of circular conduit flow in a reynolds number range of 100 < re < 1 000 and experimental data of the laminar flow over a backward - step facing step . the flow properties are well characterized by this three - dimensional numerical model
本论文在评述三维粘性流动数学模型已有研究成果的基础上，着重在数值计算方法的选择和定解条件的给定对数学模型计算结果的影响进行了研究，并首次提出了求解三维纯对流方程的高精度的拟协调单元法，建立了三维低雷诺数re流动的数学模型，并在圆管流动、台阶突扩矩形管道流动中得到验证和应用。 - Galerkin finite element method is used as numerical simulation means and a finite element program used to calculate saturated - unsaturated seepage flow due to surface infiltration is worked out it is showed that the mathematical model and the program in this dissertation are reasonable and feasible through the analysis of some numerical examples
以galerkin有限元法为模拟手段，研制了相应的算法，并编制了考虑地表入渗的三维饱和非饱和渗流有限元计算程序。通过几个算例分析表明上述模型和计算程序是合理可行的。